y=sin(2x+π/6)+cos²x-1的周期、单调区间、最值、对称轴
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![y=sin(2x+π/6)+cos²x-1的周期、单调区间、最值、对称轴](/uploads/image/z/3997259-35-9.jpg?t=y%3Dsin%282x%2B%CF%80%2F6%29%2Bcos%26%23178%3Bx-1%E7%9A%84%E5%91%A8%E6%9C%9F%E3%80%81%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B4%E3%80%81%E6%9C%80%E5%80%BC%E3%80%81%E5%AF%B9%E7%A7%B0%E8%BD%B4)
y=sin(2x+π/6)+cos²x-1的周期、单调区间、最值、对称轴
y=sin(2x+π/6)+cos²x-1的周期、单调区间、最值、对称轴
y=sin(2x+π/6)+cos²x-1的周期、单调区间、最值、对称轴
y=sin(2x+π/6)+cos²x-1=sin2xcos(π/6)+cos2xsin(π/6)+(1/2)cos2x-(1/2)=(√3/2)sin2x+cos2x-(1/2)
=(√7/2)*[(√3/√7)sin2x+(2/√7)cos2x]-(1/2)=(√7/2)sin(2x+φ)-(1/2)……0